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Finding the Fourth Proportional to 110,076.12, 151,975.80 and 75,678.12

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Solution

The fourth proportional to 110,076.12, 151,975.80 and 75,678.12 is: 104,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,076.12 : 151,975.80 = 75,678.12 : x
  2. Step 2: Convert to fraction form
    110,076.12/151,975.80 = 75,678.12/x
  3. Step 3: Cross multiply
    110,076.12x = 151,975.80 × 75,678.12
  4. Step 4: Simplify right side
    110,076.12x = 11,501,242,829.50
  5. Step 5: Solve for x
    x = 11,501,242,829.50/110,076.12
  6. Step 6: Final answer
    x = 104,484.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.